Math Problem Statement
tiếng việt
Trong mặt phẳng tọa độ Oxy, cho các đường thẳng d1: x + 2y + 3 = 0, d2: 3x - y + 5 = 0 và điểm P(-2; 1). Đường thẳng Δ đi qua P và cắt d1, d2 lần lượt tại A, B sao cho P là trung điểm của AB. Biết khoảng cách từ M(3; -2) đến đường thẳng Δ có dạng √5. Tính α² + β.
Solution
The uploaded image contains a mathematical problem in Vietnamese. Here's a rough translation:
Question 6: In the coordinate plane , there are two lines:
- and the point . The line passes through and intersects both and at points and , respectively. The point is the midpoint of . The distance from point to the line is . Determine the equation of line .
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Midpoint Theorem
Distance Formula
Formulas
Equation of a line passing through a point
Midpoint formula
Distance from a point to a line formula
Theorems
Midpoint Theorem
Distance from point to line theorem
Suitable Grade Level
Grades 10-12